# [seqfan] Table Matches "Connected Relations"

Ron Hardin rhhardin at att.net
Sat Jun 8 16:41:36 CEST 2013

```A hard to compute table that matches a lot of existing series, mostly labelled
connected relations

Take a (n+1)X(k+1) binary array.
Form an nXk 0..4 array from the sums of each 2X2 subblock
How many of the nXk arrays are there?

/tmp/dht
T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1)
binary array

Table starts
......5.........19...........65............211.............665............2059
.....19........205.........1795..........14221..........106819..........778765
.....65.......1795........36317.........636331........10365005.......162470155
....211......14221.......636331.......23679901.......805351531.....26175881341
....665.....106819.....10365005......805351531.....56294206205...3735873535339
...2059.....778765....162470155....26175881341...3735873535339.502757743028605
...6305....5581315...2495037197...831358677451.241600284318365................
..19171...39606541..37898120011.26094426008221................................
..58025..279447619.572284920845...............................................
.175099.1965098125............................................................
.527345.......................................................................

Diagonal is A005333
Row 1 is A001047
Row 2 is A002501
Row 3 is A002502
Row 4 is A093732
Row 5 is A093733
Zigzag diagonal is A123281

apparently related series
http://oeis.org/search?q=id:A001047|id:A002501|id:A002502|id:A005333|id:A093732|id:A093733|id:A123260|id:A123281

"Number of connected relations" existing series not appearing A092794-97

rhhardin at mindspring.com
rhhardin at att.net (either)

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